Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	243×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series575.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
287.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
186.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms	(* 3.0 (* v v))

simplify95.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	871	1794
1	3991	1686
2	5001	1684

prune403.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
0.2b	(* 3.0 (* v v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-l`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
18×	`times-frac`
16×	`frac-times`
14×	`pow1` `sqrt-div`
13×	`flip3--` `flip--`
12×	`associate-*r/` `prod-diff` `sqrt-prod`
9×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*l/`
4×	`sub-neg`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
34.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
7.0ms	(* 3.0 (* v v))

series392.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
293.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
25.0ms	(* 3.0 (* v v))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	886	1606
1	3435	1499
2	5001	1497

prune309.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))
1.0b	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-exp-log`
59×	`add-cbrt-cube`
58×	`frac-times`
43×	`prod-exp`
38×	`associate-*r/`
35×	`associate-l`
34×	`sqrt-div`
31×	`add-sqr-sqrt`
30×	`sqrt-prod` `cbrt-unprod`
29×	`flip3--` `flip--`
28×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
24×	`pow1`
23×	`associate-*l/`
18×	`div-exp`
12×	`pow-prod-down`
10×	`cbrt-undiv`
6×	`1-exp` `associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
129.0ms	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
7.0ms	(* 3.0 (* v v))
45.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
298.0ms	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
26.0ms	(* 3.0 (* v v))
195.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1283	3128
1	5002	2800

prune483.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

588.0ms	8041×	body	80	nan
587.0ms	8000×	body	80	valid